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Finding the Third Proportional to 2,103,077 and 4,575,210

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Solution

The third proportional to 2,103,077 and 4,575,210 is: 9,953,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,077 : 4,575,210 = 4,575,210 : x
  2. Step 2: Convert to fraction form
    2,103,077/4,575,210 = 4,575,210/x
  3. Step 3: Cross multiply
    2,103,077x = 4,575,210 × 4,575,210
  4. Step 4: Simplify right side
    2,103,077x = 20,932,546,544,100
  5. Step 5: Solve for x
    x = 20,932,546,544,100/2,103,077
  6. Step 6: Final answer
    x = 9,953,295.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.